More on exposed points and extremal points of convex sets in $\mathbb{R}^n$ and Hilbert space

DOI10.14712/1213-7243.2023.018OpenAlexW4388630626MaRDI QIDQ6178006

Stoyu Barov

Publication date: 18 January 2024

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14712/1213-7243.2023.018

zbMATH Keywords

Hilbert spaceGrassmann manifoldconvex setexposed pointextremal point

Mathematics Subject Classification ID

Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

• Extremal structure of convex sets. II
• A k-extreme point is the limit of k-exposed points
• Exposed points of convex sets
• On exposed points and extremal points of convex sets in Rⁿand Hilbert space
• ON CLOSED SETS IN HILBERT SPACE WITH CONVEX PROJECTIONS UNDER SOMEWHERE DENSE SETS OF DIRECTIONS
• On closed sets with convex projections under somewhere dense sets of directions
• On the geometric structure of convex sets with the RNP
• Über exponierte Punkte abgeschlossener Punktmengen
• A Compact Convex Set in E 3 whose Exposed Points are of the First Category
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